In a recent​ year, a hospital had 4472 births. Find the mean number of births per​ day, then use that result and the Poisson distribution to find the probability that in a​ day, there are 14 births. Does it appear likely that on any given​ day, there will be exactly 14 ​births?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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In a recent​ year, a hospital had 4472 births. Find the mean number of births per​ day, then use that result and the Poisson distribution to find the probability that in a​ day, there are 14 births. Does it appear likely that on any given​ day, there will be exactly 14 ​births?

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